Arc index via the alternating tangle decomposition

Yongju Bae

doi:10.1142/S0218216514600141

Arc index via the alternating tangle decomposition

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce the alternating tangle decomposition of a diagram of a link L and improve the upper bound of arc index α(L) by using information of the alternating tangle decomposition. Also we get the exact arc index of a class of links by combining the upper bound with Morton and Beltrami's lower bound of the arc index.

Original language	English
Article number	1460014
Journal	Journal of Knot Theory and its Ramifications
Volume	23
Issue number	7
DOIs	https://doi.org/10.1142/S0218216514600141
State	Published - 25 Jun 2014

Keywords

alternating tangle decomposition
Arc index
arc-presentation
wheel diagram

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10.1142/S0218216514600141

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title = "Arc index via the alternating tangle decomposition",

abstract = "We introduce the alternating tangle decomposition of a diagram of a link L and improve the upper bound of arc index α(L) by using information of the alternating tangle decomposition. Also we get the exact arc index of a class of links by combining the upper bound with Morton and Beltrami's lower bound of the arc index.",

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AB - We introduce the alternating tangle decomposition of a diagram of a link L and improve the upper bound of arc index α(L) by using information of the alternating tangle decomposition. Also we get the exact arc index of a class of links by combining the upper bound with Morton and Beltrami's lower bound of the arc index.

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Arc index via the alternating tangle decomposition

Abstract

Keywords

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